POWER OF ATTORNEY

        The undersigned hereby appoints Michele Nakazawa and Therese K. Hathaway
as my true and lawful attorneys-in-fact, each individually with the power to:

        (1)     execute for and on behalf of the undersigned, in the
        undersigned's capacity as an executive officer and/or director of Telos
        Corporation (the "Company"), Forms 3, 4 and 5 in accordance with Section
        16(a) of the Securities Exchange Act of 1934 and the rules thereunder;
        and

        (2)     do and perform any and all acts for and on behalf of the
        undersigned which may be necessary or desirable to complete and execute
        any such Form 3, 4 or 5 and timely file such form with the United States
        Securities and Exchange Commission, Nasdaq, New York Stock Exchange,
        and/or similar authority.

        The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the rights
and powers herein granted, as fully as the undersigned could do if personally
present, with full power of substitution or revocation, hereby ratifying and
confirming all such attorneys-in-fact shall lawfully do or cause to be done by
virtue of this Power of Attorney. The undersigned acknowledges that the
foregoing attorneys-in-fact in acting in such capacities at the request of the
undersigned, are not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16(a) of the Securities
Exchange Act of 1934.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file statements or reports under Section
16(a) of the Act with respect to the undersigned's holdings of and transactions
in securities issued by the Company, unless earlier revoked by the undersigned
in a signed writing delivered to the foregoing attorneys-in-fact.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this third day of January, 2006.

                                        /s/ Thomas L. Owsley
                                        ----------------------------------------
                                        Name: Thomas L. Owsley

                      ACKNOWLEDGEMENT FOR POWER OF ATTORNEY

STATE OF VIRGINIA                    )
                                     )
COUNTY OF FAIRFAX                    )

        The foregoing instrument was acknowledged before me this third day of
January, 2006 by Thomas L. Owsley.


                                        /s/ Karen L. Spoan
                                        ----------------------------------------
                                        Notary Public
(SEAL)

My commission expires: 11/30/09