In scenes redolent of Zimbabwe's independence in 1980, crowds thronged the cities, waving national flags and chanting for Mugabe to resign.
In his speech, he also noted he would attend the Zanu-PF party's special congress next month - giving no indication he planned to step down anytime soon.
Zanu-PF sources from Harare had told The Namibian yesterday that Mugabe had indicated tat he would resign.
"I expect that the impeachment proceedings will now commence", he said.
Analysts have suggested that Mr Mugabe's infamously stubborn character could also be hindering the conclusion of a deal between the president and the army.
Mr Stewart said Mr Mnangagwa would also be "reaching out to Britain and others because he will want legitimacy" although the change must be led - and seen to be led - by Zimbabwe.
But Madhuku says the military may have underestimated Mugabe and his familiarity with the law.
The 93-year-old Mugabe remained defiant in a national address Sunday night.
On Sunday, Mugabe was sacked as Zanu-PF party leader and replaced by one-time comrade turned arch-rival Mnangagwa.
Zimbabwe's President Robert Mugabe and his wife Grace stand by the monument of the Unknown Soldier during Heroes Day commemorations in Harare on August 10, 2015.
Mugabe holds firm: Ignores resignation speculation in TV address
Thousands of Zimbabweans are disappointed and angry after President Robert Mugabe refused to step down as largely expected.
We are not going to be leaving Harare until this guy is gone.
"Arrogant Mugabe disregards Zanu-PF", screamed Monday's headline in local newspaper the Daily News.
Mugabe could now be removed from power in a matter of days in what would be a humiliating end to the career of the "Grand Old Man" of African politics.
But the military would prefer sacked vice president Emmerson Mnangagwa to succeed Mugabe, which is not possible at the moment as he is not now in the government.
Meanwhile, opposition activists and the influential liberation war veterans association announced more demonstrations to pressure Mr Mugabe to go.
Derek Matyszak, an analyst at the Pretoria-based Institute for Security Studies, said Mugabe's address raised the stakes even further.
He is 93, in failing health and has enemies on nearly every side, but President Robert Mugabe used his TV address on Sunday to display the survival skills of one of the world's wiliest politicians.
"Your time is up", veterans' association leader Chris Mutsvangwa said at a press conference. "In this case we were hoping this was an opportunity for him to go in a dignified manner".
Zimbabweans must take advantage of the impending new political dispensation to demand strong institutions from those leading the current process lest today's liberators might morph into another creature that could come back to devour this newly found freedom.
Uber makes a deal of 24000 Volvo XC90S for the driverless fleet
On top of all that, Uber is embroiled in a lawsuit with Google's Waymo, which accused it of stealing key self-driving tech. Swedish automaker Volvo in the contract will put Uber at about 24,000 vehicles equipped with unmanned technologies.