EXHIBIT (a)(2)(i)

[LOGO]        Sensormatic
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securing today's business

                      SENSORMATIC ELECTRONICS CORPORATION
                                951 Yamato Road
                           Boca Raton, Florida 33431

                                                                 August 23, 2001
To Our Stockholders:

   Sensormatic Electronics Corporation has entered into an Agreement and Plan
of Merger with Tyco Acquisition Corp. XXIV (NV), a wholly owned subsidiary of
Tyco International Ltd., a Bermuda company, pursuant to which Tyco Acquisition
has commenced an offer to exchange a fraction of a Tyco common share for each
of the outstanding shares of Sensormatic's common stock. In the offer, each
tendered and accepted Sensormatic common share will be exchanged for a fraction
of a Tyco common share having a value of $24.00 based on the average of the
volume-weighted averages of the per share selling prices of Tyco common shares
on the NYSE over the five consecutive trading days ending on the fourth trading
day prior to and not including October 1, 2001, the initial date designated for
the expiration of the offer. If this Tyco average share price is less than
$46.25, Tyco may terminate the agreement unless Sensormatic's Board of
Directors agrees that the exchange ratio in the transaction will be fixed at
0.5189 of a Tyco common share for each Sensormatic common share, in which event
Sensormatic common stockholders would receive a fraction of a Tyco common share
valued, based on such average share price, at less than $24.00 for each
Sensormatic common share.

   Your Board of Directors believes the transaction is an excellent one for
Sensormatic's common stockholders. Among other things, the $24.00 in value per
Sensormatic common share represents a premium of more than 60% over the
reported sale price of Sensormatic common shares on August 2, 2001, the last
full trading day prior to the public announcement of the agreement.

   The offer is subject to various conditions including, among others, that
there be validly tendered and not properly withdrawn prior to the expiration of
the offer that number of Sensormatic common shares which, together with any
Sensormatic common shares held by Tyco and its affiliates, represents at least
a majority of the number of Sensormatic common shares outstanding on a fully
diluted basis, and upon the receipt of U.S. and material non-U.S. regulatory
approvals. The offer will be followed by the merger of Sensormatic with Tyco
Acquisition, in which each Sensormatic common share that is not exchanged in
the offer will be converted into the right to receive a fraction of a Tyco
common share at the same exchange ratio as exchanged in the offer.

   Your Board of Directors determined, by a unanimous vote of the directors
present at a special meeting, that the terms of Tyco's offer and the merger are
advisable, fair to, and in the best interests of, Sensormatic's common
stockholders. The members of your Board of Directors unanimously recommend that
Sensormatic's common stockholders accept the Tyco offer and tender their
Sensormatic common shares.

   In arriving at its recommendation, your Board of Directors considered the
factors described in the accompanying Schedule 14D-9. Included as Annex A to
the Schedule 14D-9 is a written opinion of Morgan Stanley & Co. Incorporated,
Sensormatic's financial advisor, to your Board of Directors to the effect that,
as of the date of that opinion and based on and subject to the matters
described in such opinion, the consideration to be received by the holders of
Sensormatic common shares pursuant to the agreement was fair, from a financial
point of view, to such holders. Morgan Stanley's opinion is addressed to the
Board of Directors and is not a recommendation to Sensormatic's stockholders
whether to tender their shares pursuant to the offer. You should read this
opinion carefully in its entirety for a description of the assumptions made,
procedures followed, matters considered and limitations on the review
undertaken by Morgan Stanley in rendering its opinion.

   The accompanying prospectus and letter of transmittal of Tyco sets forth all
of the terms of the offer. Additionally, the enclosed Schedule 14D-9 sets forth
additional information regarding the offer and the merger relevant to making an
informed decision. We urge you to read these materials carefully and in their
entirety.

                                          Very truly yours,

                                          /s/ Per-Olof Loof
                                          Per-Olof Loof
                                          President and Chief Executive
                                           Officer