He will need to obtain his retirement extension and then you and children will be able to extend as his dependents.
Here is translation of relevant section of police order. You and children will fall under section 2.20 and husband section 2.22.
2.20 In the case of a family member of an alien who has been permitted temporary stay under clauses 2.1, 2.2, 2.3, 2.5, 2.6,2.7, 2.10, 2.12, 2.13,2.4, 2.15, 2.16, 2.17, 2.21, 2.22,2.26,6.29 of this Order (applicable only to parents, spouse, child, adopted child or child of his/her spouse):
Permission will be granted for a period of not more than 1 year at a time.
(1) The alien has obtained a temporary visa (NON-IM);
(2) Proof of family relationship;
(3) In the case of a spouse, the marital relationship shall be de
jure (legitimate) and de facto; or
(4) In the case of a child, adopted child or child of his/her spouse, the said person must not be married, must be living with the family, and must be less than 20 years of age; or
(5) In the case of a parent, the said person shall be 50 years of age or over.
2.22 In the case of a retiree: Permission will be granted for a period of not more than 1 year at a time.
(1) The alien has obtained a temporary visa (NON-IM);
(2) The applicant is 50 years of age or over;
(3) Proof of income of not less than Baht 65,000 per month; or
(4) Account deposit with a bank in Thailand of not less than
800,000 Baht as shown in the bank account for the past 3 months at the filing date of the application. For the first year, the applicant should have that amount in his bank account for not less than 60 days or
(5) Annual income plus bank account deposit totaling not less
than Baht 800,000 as of the filing date of application
(6) For an alien who entered Thailand before October 21,
1998 and continuously allowed to stay in the Kingdom as a
retiree, the following shall apply:
(a) He/she must be 60 years of age or over and has regular
income. His/her bank account deposit shall not be less than Baht 200,000 a year and evidence of the account deposit for the
previous 3 months must be shown; or he/she has a monthly income of not less than Baht 20,000.
(b) If he/she is under 60 years of age but not less than 55,
the alien shall have regular income with a bank account deposit of not less than Baht 500,000 a year and evidence of the account deposit for the previous 3 months must be shown, or he/she has a monthly income of not less than 50,000 baht
